Duke Mathematical Journal

Hecke theory and equidistribution for the quantization of linear maps of the torus

Pär Kurlberg and Zeév Rudnick

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Duke Math. J., Volume 103, Number 1 (2000), 47-77.

First available in Project Euclid: 17 August 2004

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Zentralblatt MATH identifier

Primary: 11F25: Hecke-Petersson operators, differential operators (one variable)
Secondary: 11G40: $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10] 11L07: Estimates on exponential sums 37D40: Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 81Q50: Quantum chaos [See also 37Dxx]


Kurlberg, Pär; Rudnick, Zeév. Hecke theory and equidistribution for the quantization of linear maps of the torus. Duke Math. J. 103 (2000), no. 1, 47--77. doi:10.1215/S0012-7094-00-10314-6. https://projecteuclid.org/euclid.dmj/1092749398

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